A rectangular prism measures 6 m long and 3 m wide. If the volume of the prism is 162 m*, what is the height of the prism

Answer:

77.5 square units

Step-by-step explanation:

set up a proportion first.

[tex] \frac{2}{5} = \frac{31}{x} [/tex]

then, cross multiply

2x = 155

divide by 2

x = 77.5

The area of the base of the larger prism is approximately 193.75 square units.

If two prisms are similar, then their corresponding sides are proportional. Let the smaller prism have a base area of 31 square units, and let the corresponding side of the larger prism have length x.

Since the ratio of similarity is 2:5, we have:

x / s = 5/2

where s is the length of the corresponding side of the smaller prism. Solving for x, we get:

x = (5/2) x s

We know that the area of the base of a prism is given by the formula:

A = s²

Substituting the value of s in terms of x, we get:

A = ((5/2) x s)²

A = (25/4) x s²

Substituting the value of s² in terms of the area of the smaller prism, we get:

A = (25/4) x 31

A = 775/4

A = 193.75 square units

Therefore, the area of the base of the larger prism is approximately 193.75 square units.

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Answer:

3.68

Step-by-step explanation:

55 = l x w x h

what x what x what would equal 55

5 x 11 = 55

so

Answer:

500 calories an hour are burnt.

Step-by-step explanation:

45 is 3/4 of 60, so 375 is 3/4 of an hour of jogging. If we divide 375 by 3 we will get how many calories are burnt every 1/4 of an hour.

375 / 3 = 125

Now that we know what 1/4 of an hour equals we can add 125, 4 times to find the number of burnt calories in an hour of running.

125 + 125 + 125 + 125 = 500

that means jogging burns 500 calories an hour.

Answer:

C

Step-by-step explanation:

Lets look at all the answer choices:

A and looks like a little number.

B said 7. 7 x 16 = 122 7 x 12 = 84.

122 + 56 = 178. 140 + 84 = 224.

B is incorrect

C said 21. 21 x 16 = 336 21 x 12 = 252

336 + 56 = 392 and 140 + 252 = 392

C is the correct answer.

Answer:

The common multiple is 18

Step-by-step explanation:

Because 9*2=18 and 18*1=18

Answer:

Simply 18.

Step-by-step explanation:

18 = 2*9

280 grams of almond flour.

She needs 70% of the flour to be almond flour

70/100*400 =  280

Answer:

x = 23.5

Step-by-step explanation:

By inscribed angle theorem:

[tex](2x + 1) \degree = \frac{1}{2} \times 96 \degree \\ \\ \implies \: (2x + 1) \degree = 48 \degree \\ \\ \implies \: 2x + 1 = 48 \\ \\ \implies \: 2x = 48 - 1\\ \\ \implies \: 2x = 47\\ \\ \implies \: x = \frac{47}{2} \\ \\ \implies \: x = 23.5[/tex]

The perimeter of the rectangle whose diagonal is 12in and intersects at an angle to make a 60 degree angle is; 32.8in.

The rectangle as described above has it's Diagonals intersect at their midpoints, i.e at length = 6in.

On this note, the right angle triangles formed each have other two sides to be;

From the statement above, the values of x and y are 5.2 and 3.

Hence, the perimeter of the rectangle is;

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Answer:

use area

Step-by-step explanation:

we can't use volume here since we are dealing with the outside part only

so area of a cylinder is =πr²h

our r represents the radius which is diameter/2

r=7.5/2

=3.75m

our h represents height which is 12.5m

so put in our formula

area = π×(3.75)²×(12.5)

=552.2330836m³

that's it dear

give my answer a brainliest

Answer: H is between 81 And 162

Step-by-step explanation: 20/100 ×135/1 = 27 FamilieFamilies with 81 Blankets

40/100 × 135/1 = 54 families with 162 Blankets

Answer:

2/65

Step-by-step explanation:

trust me

The probability that Sam picks two blue pens is,

⇒ 5 / 26

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

A box has 26 pens —6 red, 8 green, 5 blue, and 7 black.

Here, Sam picks two pens at a time without replacement.

Hence, We get;

The probability that Sam picks two blue pens is,

⇒ P =  5 / 26

Thus, The probability that Sam picks two blue pens is,

⇒ 5 / 26

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Answer:

4:11

Step-by-step explanation:

let's say there 15 students, 10 of them study a language. Of the 10, 4 (the 2/5) study french, so of the 15 students 4 study french, making it 4:11.

Answer:

x = 5

Step-by-step explanation:

- 2 + x = 3

x = 3 + 2

x = 5

______

Hope it helps ⚜

Answer

- 2 + x = 3

5 = x

Answer:

A) 2, 4, 0, 2, 4, 6, 3, 0, 7, 1, 2, 7, 8, 1, 1

Step-by-step explanation:

B says that 5 is marked but 5 is not marked on the number line

C has three 0s and there are only two 0s.

D has less numbers so that one isn't it.

hope this helped!

brainliest please!

~Kandy~

Step-by-step explanation:

There is no number greater than zero that satisfy the above inequality

but if the sign is less than or equal to 1 will work

Answer:

0 < x < 1

any fraction bigger than zero and less than 1.

Step-by-step explanation:

8x - 1 < 2x + 5

Subtract 2x

6x - 1 < 5

Add 1.

6x < 6

Divide by 6.

x < 1

They are asking for a number bigger than zero. But 1 does not work because the answer has to be less than one. Pick any fraction between zero and one.

Step-by-step explanation:

[tex] \frac{v}{7} = 3 \\ [/tex]

[tex] \frac{v \times 7}{7} = 3 \times 7 \\ [/tex]

[tex]v = 21 \\ [/tex]

Answer:

Step-by-step explanation:

In the question we're provided with an equation that is :

And we are asked to find the solution for the equation .

Solution : -

[tex] \longrightarrow \: \frac{v}{7} = 3[/tex]

Multiplying by 7 on both sides :

[tex] \longrightarrow \: \frac{v}{ \cancel{7} }\times \cancel{7} = 3 \times 7[/tex]

On further calculations , we get :

[tex] \longrightarrow \: \blue{\boxed{v = 21}}[/tex]

Verifying :

We are verifying our answer by substituting value of v in the equation given in question :

[tex] \longrightarrow \: \frac{v}{7} = 3[/tex]

Putting value of v :

[tex] \longrightarrow \: \cancel{\frac{21}{7}} = 3[/tex]

By dividing 21 with 7 , we get :

[tex] \longrightarrow \:3 = 3[/tex]

[tex] \longrightarrow \: L.H.S=R.H.S[/tex]

[tex] \longrightarrow \: Hence , \: Verified.[/tex]

Circumference=87km

Diameter be d

Answer: 9.4 cm

Step-by-step explanation:

formula is

2 pie r (m/360)

Answer:

Fire?

Step-by-step explanation:

fire would need and not need all of these things

Answer:

Fire.

Step-by-step explanation:

It has to be fire?

Answer:

-8/7

Step-by-step explanation:

I thinks this is the answer

Answer:

x is 3 or 4

Step-by-step explanation:

Answer:

4 batches: [tex]2\frac{2}{3}[/tex] cups

7 batches: [tex]4\frac{2}{3}[/tex] cups

Step-by-step explanation:

If he uses 2/3 cup of flour for each batch, then that is 2/3 four times, or 2/3 · 4.

[tex]\frac{2}{3}[/tex] × [tex]\frac{4}{1}[/tex]

= [tex]\frac{8}{3}[/tex]  = [tex]2\frac{2}{3}[/tex]

If he makes three more, than that will be 7 batches in total. We can multiply 2/3 by 3 to find out how much will be needed for those extra three, then add that product to [tex]2\frac{2}{3}[/tex].

[tex]\frac{2}{3}[/tex] × [tex]\frac{3}{1}[/tex]

= [tex]\frac{6}{3}[/tex]  = 2

[tex]2\frac{2}{3} +2[/tex]  = [tex]4\frac{2}{3}[/tex]

Thus, [tex]2\frac{2}{3}[/tex] and [tex]4\frac{2}{3}[/tex] are the answers.

hope this helps!

Answer:

The answer is num 1 I think, 4(x+5)=90

The approximate difference in their volumes is 17.2 cubic inches

A sphere is a round solid figure, with every point on its surface equidistant from its centre.

The formula for calculating the volume of a sphere is;

V = 4/3πr³

where:

r is the radius of the sphere

Given the following

diameter of youth ball =2.8in

radius of youth ball r = 1.4in

diameter of adult ball =3.8in

radius of adult ball R = 1.9in

Determine the difference in volume

D = 4/3π(R³ - r³)

Substitute

D = 4/3π(1.9³ - 1.4³)

D = 4/3π(4.115)

D =17.2 cubic inches

Hence the approximate difference in their volumes is 17.2 cubic inches

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Answer:

B 17.2

Step-by-step explanation:

Answer:

95.76$

Step-by-step explanation:

Calculate 15% of 638.40$

we have 15%/100% x 638.40

which is 95.76$

It means that a charge of 95.76$ will be added to an amount of 638.40$

Answer:

its either 2 or 4 because a triangle can't change its shape it need to be the same shape

Answer:

2, 3, and 4.

Step-by-step explanation:

  The only answer that would result in a non-congruent triangle would be Option 1. It is asking you to dilate by a scale factor of 2 which would make the triangle 2 times bigger. In that case, the triangle to not be congruent.

  Reflections, Rotations, and Translations do not change the size of the triangle which means it remains congruent.

Answer:

Infinite/(-∞, ∞)

Step-by-step explanation:

Using it's concept, it is found that there is a 0.183 = 18.3% probability that the person has completed a bachelor's degree and no more.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Researching this problem on the internet, it is found that 529 + 1054 = 1583 out of 1911 + 6730 = 8641 people aged 40 or older have completed a bachelor's degree and no more, hence the probability is given by:

p = 1583/8641 = 0.183.

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